128
128

Sep 20, 2013
09/13

by
Florin Radulescu

texts

######
eye 128

######
favorite 0

######
comment 0

Classical Hecke operators on Maass forms are unitarely equivalent, up to a commuting phase, to completely positive maps on II$_1$ factors, associated to a pair of isomorphic subfactors, and an intertwining unitary. This representation is obtained through a quantized representation of the Hecke operators. in this representation, the Hecke operators act on the Berezin's quantization, deformation algebra of the fundamental domain of $\PSL(2,\Z)$ in the upper halfplane. The Hecke operators are...

Source: http://arxiv.org/abs/0802.3548v16

81
81

Sep 19, 2013
09/13

by
Florin Diacu; Ernesto Perez-Chavela; Manuele Santoprete

texts

######
eye 81

######
favorite 0

######
comment 0

In 1970 Don Saari conjectured that the only solutions of the Newtonian $n$-body problem that have constant moment of inertia are the relative equilibria. We prove this conjecture in the collinear case for any potential that involves only the mutual distances. Furthermore, in the case of homogeneous potentials, we show that the only collinear and non-zero angular momentum solutions are homographic motions with central configurations.

Source: http://arxiv.org/abs/0909.4909v1

0
0.0

Mar 2, 2021
03/21

by
Florin Tobler (ftobler)

data

######
eye 0

######
favorite 0

######
comment 0

a simple Thermometer Stand for: https://www.ebay.com/itm/Indoor-Outdoor-Monitor-Meter-Digital-Display-LCD-Hygrometer-Humidity-Thermometer/123147345651 or https://www.aliexpress.com/item/Thermometer-Embedded-Electronic-Thermometer-And-Hygrometer-Digital-Thermometer/32893229476.html or similar

Topics: eBay, Stand, thingiverse, stl, Office, Thermometer, AliExpress

3
3.0

Jun 30, 2018
06/18

by
Abhijit Datta Banik; Mohan L. Chaudhry; Florin Avram

texts

######
eye 3

######
favorite 0

######
comment 0

We consider an infinite-buffer single-server queue where inter-arrival times are phase-type ($PH$), the service is provided according to Markovian service process $(MSP)$, and the server may take single, exponentially distributed vacations when the queue is empty. The proposed analysis is based on roots of the associated characteristic equation of the vector-generating function (VGF) of system-length distribution at a pre-arrival epoch. Also, we obtain the steady-state system-length...

Topics: Probability, Computing Research Repository, Performance, Mathematics

Source: http://arxiv.org/abs/1702.03444

6
6.0

Jun 29, 2018
06/18

by
Zhangyang Wang; Shiyu Chang; Florin Dolcos; Diane Beck; Ding Liu; Thomas S. Huang

texts

######
eye 6

######
favorite 0

######
comment 0

Image aesthetics assessment has been challenging due to its subjective nature. Inspired by the scientific advances in the human visual perception and neuroaesthetics, we design Brain-Inspired Deep Networks (BDN) for this task. BDN first learns attributes through the parallel supervised pathways, on a variety of selected feature dimensions. A high-level synthesis network is trained to associate and transform those attributes into the overall aesthetics rating. We then extend BDN to predicting...

Topics: Computer Vision and Pattern Recognition, Neural and Evolutionary Computing, Computing Research...

Source: http://arxiv.org/abs/1601.04155

Note : Transcript available at California State University, Sacramento University Library. Description : Nisei male, born April 3, 1923 in Broderick, California to a farm family. Noburo graduated from high school in June 1941 and Japan attacked Pearl Harbor on December 7, 1941, when he was eighteen. In May 1942 his family was evacuated to Merced Assembly Center, then to Amache, Colorado. The family lost income from the crops and gave away horses, which were too costly to maintain during...

Topic: californiarevealed

Source: 3 Tapes of 3: 1/8 inch audio cassette

0
0.0

Jan 3, 2021
01/21

by
Florin Alexie (fofoalexie)

data

######
eye 0

######
favorite 0

######
comment 0

In need for a pressure switch mount for my airsoft replica, i designed and printed this. 85 mm long and it fits on 22mm rail. I printed this with ABS because it is strong and it will not break. I will sand it and paint it in black.

Topics: flashlight, RIS_Flashlight_Mount, stl, button, rail_mount, mount, pressure_switch, 22mm, airsoft,...

0
0.0

Jan 4, 2021
01/21

by
Florin Ursu (gfursu)

data

######
eye 0

######
favorite 0

######
comment 0

Remix from https://www.thingiverse.com/thing:3025215 This is to replace the need to buy the small table in the remixed version, which also means no need to hollow those legs. Combined the bracket and the extender along with the actual extra leg. Modified the bracket and the extender since it's merged to the new leg. Currently, the leg is at 25cm which fits my CR-10S perfectly for a total height of 65cm. Should you need a different length, you can just increase the height or message me and i can...

Topics: 3D Printing, ikea_lack_table, stl, thingiverse, ikea, IKEA_Lack_enclosure, ikea_lack

0
0.0

Jan 6, 2021
01/21

by
V. FLORIN (Pipinol)

data

######
eye 0

######
favorite 0

######
comment 0

I did a different vacuum tube with a bigger upper connection to fit my tube and a longer thumbscrew adapter to be easier to use. For me the original vacuum tube could not be printed correctly without supports, mine worked without any support. - This vacuum tube, upper part has the following dimensions: outer diameter 31.4 mm, inner diam. 29 mm. - This thumbscrew has some tolerances, you can check the image with the values from fusion. On my printer i used no horizontal expansion and the fit was...

Topics: DIY, stl, thingiverse

0
0.0

Jan 7, 2021
01/21

by
Florin Ursu (gfursu)

data

######
eye 0

######
favorite 0

######
comment 0

Life=Size Puzzle Coffee Table #2 here: https://www.thingiverse.com/thing:4655577 This is a life=size Coffee Table. There are two ways to assemble it (same 6 legs) Dimensions: First build: 61x61x33cm (24"x24"x13") Second build: 61x61x28cm (24"x24"x11") Table top: order locally a 61x61x0.65 cm round tempered glass. (22"x22"x1/4") To Print: 6x legs Outer layer 8! (make it solid) Infill: 20% No support The build consists of assembling in a puzzle-like...

Topics: 3D_puzzle, stl, puzzle, coffeetable, puzzle_table, Kitchen & Dining, thingiverse, coffee_table

0
0.0

Jan 5, 2021
01/21

by
Florin Ursu (gfursu)

data

######
eye 0

######
favorite 0

######
comment 0

Work in progress until I get to print it myself and see if I need to adjust. Keep an eye on the post itself and I'll specify if any changes have been made. As a continuation of my previous frame (https://www.thingiverse.com/thing:4592870), I decided to make it work both as a photo frame as well as a lithophane frame/casing. The lithophane frame is designed to work with the LED candles, similar to this one:...

Topics: lithophane, photo_frame, stl, art, litophane_picture, litophane_holder, litophane_viewer, Art,...

0
0.0

Jan 8, 2021
01/21

by
Xavier FLORIN (Xavierf)

data

######
eye 0

######
favorite 0

######
comment 0

Un cadeau pour mon petit fils si ça peut faire plaisir à quelqu'un d'autre....

Topics: lithophane, stl, pokemon, Decor, thingiverse, sphere

1
1.0

Jan 6, 2021
01/21

by
Florin Ursu (gfursu)

data

######
eye 1

######
favorite 0

######
comment 0

I made a name tag for a friend, and she was so happy with it that I figured I'd make it customizable and make it available here. 0.25 layer height No Support 20% infill Add a pause at height in your slicer at layer 80 (or height 200) so you can change filament if you have only one nozzle

Topics: stl, name_plates, name_Tag_label, Office, name_tag, name_plate, desk_name_plate, desk, thingiverse

1
1.0

Jan 4, 2021
01/21

by
Florin Ursu (gfursu)

data

######
eye 1

######
favorite 0

######
comment 0

I liked the design put together from a number of parts. Problem is that it's just put together, not re-designed, so I changed the base connector to make it adequate. If you choose to use this, I strongly suggest you also change the base to allow for frontal mount rather than side mount, I provided another mod here: https://www.thingiverse.com/thing:4603398

Topics: stl, raspberry_pi_camera, raspberry_pi_case, thingiverse, 3D Printer Accessories

1
1.0

Jan 12, 2021
01/21

by
Blake Florin (bflorin)

data

######
eye 1

######
favorite 0

######
comment 0

Customized version of http://www.thingiverse.com/thing:41524 Created with Customizer! http://www.thingiverse.com/apps/customizer/run?thing_id=41524

Topics: Rings, customized, thingiverse, stl

0
0.0

Jan 9, 2021
01/21

by
Florin Ursu (gfursu)

data

######
eye 0

######
favorite 0

######
comment 0

Loved the look, figured I'd try it printed. Printed it with rafts and no support, but alternately would probably work just fine with support from base Infill 10% PLA Post your makes!

Topics: Art, tetrahedron, thingiverse, stl, star_tetrahedron

6
6.0

Jun 30, 2018
06/18

by
Florin Ambro; Mugurel Barcau

texts

######
eye 6

######
favorite 0

######
comment 0

We give a sharp upper bound for the entries of the representations of a rational number as a sum of Egyptian fractions.

Topics: Mathematics, Number Theory, Algebraic Geometry

Source: http://arxiv.org/abs/1412.3263

1
1.0

Jan 21, 2021
01/21

by
Florin Finaru (mickutz)

data

######
eye 1

######
favorite 0

######
comment 0

I've designed this after realising how much of a mess cabling on desks is in work. Screw on to the back of the desk or use double sided tape to stick to surface. Prints in a single go, some supports are required and if the print fuses at the hinge, you can use a blade to separate layers once finished. There are two versions, the original one has a tolerance of 0.3mm on the hinge, whilst the tolerance was increased to 0.5mm on the second one due to some users reporting they are not able to...

Topics: hook, latch, stl, thingiverse, Other, cabling

1
1.0

Jan 21, 2021
01/21

by
Simedru Florin (simedruflorin)

data

######
eye 1

######
favorite 0

######
comment 0

This thing was made with Tinkercad. Edit it online https://www.tinkercad.com/things/0J1CZl4QMjO

Topics: 3D Printing, stl, thingiverse

0
0.0

Jan 16, 2021
01/21

by
Simedru Florin (simedruflorin)

data

######
eye 0

######
favorite 0

######
comment 0

This thing was made with Tinkercad. Edit it online https://www.tinkercad.com/things/9sSuBhjk4rE

Topics: 3D Printing, stl, thingiverse

15
15

Jun 16, 2015
06/15

by
Florin, Lambert

texts

######
eye 15

######
favorite 0

######
comment 0

Includes bibliographical references and index

Topic: Historic trees

0
0.0

Jan 7, 2021
01/21

by
daniel florin (gorgojo123)

data

######
eye 0

######
favorite 0

######
comment 0

please , adjust the rigth flow , there is not enogh tolerance gap

Topics: Mobile Phone, stl, thingiverse

Journal of Research of the National Bureau of Standards

4
4.0

Jun 30, 2018
06/18

by
Bradley D. Stewart; Caitlin E. Scott; Thomas P. McCoy; Guo Yin; Florin Despa; Sanda Despa; Peter M. Kekenes-Huskey

texts

######
eye 4

######
favorite 0

######
comment 0

Hyperamylinemia, a condition characterized by above-normal blood levels of the pancreas-derived peptide amylin, accompanies obesity and precedes type II diabetes. Human amylin oligomerizes easily and can deposit in the pancreas, brain, and heart, where they have been associated with calcium dysregulation. In the heart, accumulating evidence suggests that human amylin oligomers form modestly cation-selective, voltage-dependent ion channels that embed in the cell sarcolemma (SL). The oligomers...

Topics: Subcellular Processes, Molecular Networks, Quantitative Biology

Source: http://arxiv.org/abs/1704.03353

2
2.0

Jun 30, 2018
06/18

by
Abdenacer Makhlouf; Florin Panaite

texts

######
eye 2

######
favorite 0

######
comment 0

The purpose of this paper is to provide new constructions of Hom-associative algebras using Hom-analogues of certain operators called twistors and pseudotwistors, by deforming a given Hom-associative multiplication into a new Hom-associative multiplication. As examples, we introduce Hom-analogues of the twisted tensor product and smash product. Furthermore we show that the construction by the ''twisting principle'' introduced by Yau and the twisting of associative algebras using pseudotwistors...

Topics: Quantum Algebra, Mathematics

Source: http://arxiv.org/abs/1402.1893

2
2.0

Jun 30, 2018
06/18

by
Bogdan Dumitrescu; Bogdan C. Sicleru; Florin Avram

texts

######
eye 2

######
favorite 0

######
comment 0

We propose a general method for optimization with semi-infinite constraints that involve a linear combination of functions, focusing on the case of the exponential function. Each function is lower and upper bounded on sub-intervals by low-degree polynomials. Thus, the constraints can be approximated with polynomial inequalities that can be implemented with linear matrix inequalities. Convexity is preserved, but the problem has now a finite number of constraints. We show how to take advantage of...

Topics: Mathematics, Optimization and Control

Source: http://arxiv.org/abs/1401.2305

2
2.0

Jun 30, 2018
06/18

by
Daniel S. Berger; Philipp Gland; Sahil Singla; Florin Ciucu

texts

######
eye 2

######
favorite 0

######
comment 0

TTL caching models have recently regained significant research interest, largely due to their ability to fit popular caching policies such as LRU. This paper advances the state-of-the-art analysis of TTL-based cache networks by developing two exact methods with orthogonal generality and computational complexity. The first method generalizes existing results for line networks under renewal requests to the broad class of caching policies whereby evictions are driven by stopping times. The...

Topics: Performance, Networking and Internet Architecture, Computing Research Repository

Source: http://arxiv.org/abs/1402.5987

4
4.0

Jun 30, 2018
06/18

by
Abdenacer Makhlouf; Florin Panaite

texts

######
eye 4

######
favorite 0

######
comment 0

We introduce the Hom-analogue of the L-R-smash product and use it to define the Hom-analogue of the diagonal crossed product. When H is a finite dimensional Hom-Hopf algebra with bijective antipode and bijective structure map, we define the Drinfeld double of H; its algebra structure is a Hom-diagonal crossed product and it has all expected properties, namely it is quasitriangular and modules over it coincide with left-right Yetter-Drinfeld modules over H.

Topics: Quantum Algebra, Mathematics, Rings and Algebras

Source: http://arxiv.org/abs/1403.7077

6
6.0

Jun 30, 2018
06/18

by
Florin Diacu

texts

######
eye 6

######
favorite 0

######
comment 0

We provide the differential equations that generalize the Newtonian N-body problem of celestial mechanics to spaces of constant Gaussian curvature, k, for all k real. In previous studies, the equations of motion made sense only for k nonzero. The system derived here does more than just include the Euclidean case in the limit when k tends to 0: it recovers the classical equations for k=0. This new expression of the laws of motion allows the study of the N-body problem in the context of constant...

Topics: Mathematics, Dynamical Systems

Source: http://arxiv.org/abs/1405.0453

3
3.0

Jun 30, 2018
06/18

by
Florin Radulescu

texts

######
eye 3

######
favorite 0

######
comment 0

Consider a unitary representation $\pi$ of a discrete group $G$, which, when restricted to an almost normal subgroup $\Gamma\subseteq G$, is of type II. We analyze the associated unitary representation $\overline{\pi}^{\rm{p}}$ of $G$ on the Hilbert space of "virtual" $\Gamma_0$-invariant vectors, where $\Gamma_0$ runs over a suitable class of finite index subgroups of $\Gamma$. The unitary representation $\overline{\pi}^{\rm{p}}$ of $G$ is uniquely determined by the requirement that...

Topics: Mathematics, Number Theory, Operator Algebras

Source: http://arxiv.org/abs/1407.0890

2
2.0

Jun 29, 2018
06/18

by
Florin Diacu; Cristina Stoica; Shuqiang Zhu

texts

######
eye 2

######
favorite 0

######
comment 0

We consider the $N$-body problem of celestial mechanics in spaces of nonzero constant curvature. Using the concept of locked inertia tensor, we compute the moment of inertia for systems moving on spheres and hyperbolic spheres and show that we can recover the classical definition in the Euclidean case. After proving some criteria for the existence of relative equilibria, we find a natural way to define the concept of central configuration in curved spaces using the moment of inertia, and show...

Topics: Dynamical Systems, Mathematical Physics, Mathematics

Source: http://arxiv.org/abs/1603.03342

4
4.0

Jun 29, 2018
06/18

by
Florin Nicolae

texts

######
eye 4

######
favorite 0

######
comment 0

Let $K/\mathbb Q$ be a finite Galois extension, $s_0\in \mathbb C\setminus \{1\}$, ${\it Hol}(s_0)$ the semigroup of Artin L-functions holomorphic at $s_0$. If the Galois group is almost monomial then Artin's L-functions are holomorphic at $s_0$ if and only if $ {\it Hol}(s_0)$ is factorial. This holds also if $s_0$ is a zero of an irreducible L-function of dimension $\leq 2$, without any condition on the Galois group.

Topics: Number Theory, Mathematics

Source: http://arxiv.org/abs/1610.08651

3
3.0

Jun 29, 2018
06/18

by
David Landa-Marbán; Florin A. Radu; Jan M. Nordbotten

texts

######
eye 3

######
favorite 0

######
comment 0

The focus of this paper is the derivation of a non-standard model for microbial enhanced oil recovery (MEOR) that includes the interfacial area (IFA) between the oil and water. We consider the continuity equations for water and oil, a balance equation for the oil-water interface and advective-dispersive transport equations for bacteria, nutrients and surfactants. Surfactants lower the interfacial tension (IFT), which improves the oil recovery. Therefore, we include in the model...

Topics: Fluid Dynamics, Numerical Analysis, Physics, Mathematics

Source: http://arxiv.org/abs/1612.04663

0
0.0

Mar 4, 2021
03/21

by
Florin Tuluc (obiect)

data

######
eye 0

######
favorite 0

######
comment 0

This is a filament guide for Ultimaker 3 that can be used with 1 kg filament spools on material 1 holder. Must be printed with support. No fastners or screws are required for installation, just slide its edge under the printer! I do not own an Ultimaker 3 (I have the Extended version) and I could not test the functionality of this object. If you print it and it works for you please post it or send a message. Thank you in advance! If you have Ultimaker 3 Extended use...

Topics: filament, 3D Printer Accessories, thingiverse, filament_guide, stl, ultimaker_3

1
1.0

Jan 19, 2021
01/21

by
Florin Tuluc (obiect)

data

######
eye 1

######
favorite 0

######
comment 0

This box fits three Ultimaker 3 print cores. The box and the lid are printed separately and they snap together. No need for support.

Topics: 3D Printer Accessories, print_core, thingiverse, Ultimaker_3d_printer, ultimaker_3, ultimaker, box,...

55
55

Oct 19, 2014
10/14

by
Vieru, Mariana; Popescu, Florin-Dan; Tudose, Adriana; Dumitrescu, Nicolae

texts

######
eye 55

######
favorite 0

######
comment 0

This article is from Clinical and Translational Allergy , volume 4 . Abstract None

Source: http://www.ncbi.nlm.nih.gov/pmc/articles/PMC4072143

4
4.0

Jun 30, 2018
06/18

by
Joel D. Day; Florin Manea; Dirk Nowotka

texts

######
eye 4

######
favorite 0

######
comment 0

We investigate the class of regular-ordered word equations. In such equations, each variable occurs at most once in each side and the order of the variables occurring in both sides is the preserved (the variables can be, however, separated by potentially distinct constant factors). Surprisingly, we obtain that solving such simple equations, even when the sides contain exactly the same variables, is NP-hard. By considerations regarding the combinatorial structure of the minimal solutions of the...

Topics: Formal Languages and Automata Theory, Computing Research Repository

Source: http://arxiv.org/abs/1702.07922

2
2.0

Jun 30, 2018
06/18

by
Florin Panaite; Paul Schrader; Mihai D. Staic

texts

######
eye 2

######
favorite 0

######
comment 0

We introduce a new type of categorical object called a \emph{hom-tensor category} and show that it provides the appropriate setting for modules over an arbitrary hom-bialgebra. Next we introduce the notion of \emph{hom-braided category} and show that this is the right setting for modules over quasitriangular hom-bialgebras. We also show how the hom-Yang-Baxter equation fits into this framework and how the category of Yetter-Drinfeld modules over a hom-bialgebra with bijective structure map can...

Topics: Quantum Algebra, Category Theory, Mathematics

Source: http://arxiv.org/abs/1702.08475

42
42

Sep 19, 2013
09/13

by
Ryszard Nest; Florin Radulescu

texts

######
eye 42

######
favorite 0

######
comment 0

Let $\Gamma$ be a discrete icc subgroup of PSL(2,R) of infinite covolume. and let M denote the quotient of the unit disc by $\Gamma$. We prove that a Toeplitz operator with $\Gamma$-invariant symbol f in C(M) is Brauer Fredholm if its symbol is invertible on the boundary of M and its Brauer index is equal to the winding number of f at the boundary. We construct the associated extension of the algebra of functions continuous on the boundary of M by the Brauer ideal in the C*-algebra generated by...

Source: http://arxiv.org/abs/math/9911042v1

0
0.0

Jan 17, 2021
01/21

by
Florin Carnaru (make1)

data

######
eye 0

######
favorite 0

######
comment 0

After I added https://www.thingiverse.com/thing:2644537 this cover would not fit anymore so I cut a corner and now it does. v1 should allow for filament change without the need to take the cover off, also i removed the cable bracket.

Topics: 3D Printer Parts, stl, thingiverse

Note : Low-level content can be heard in the right channel at times on part 1 -- it sounds as if previously recorded music had not been fully erased. Interview with Ernest Iiyama starts with part 6. Transcript available at Sacramento State University, Sacramento University Library. Description : Issei male, born in 1912 and brought to America when he was six months old. His father was a boiler maker and chief machinist for the Santa Fe Rail Road Company. Kenneth was educated in Bakersfield...

Topic: californiarevealed

Source: 5 Tapes of 5: 1/8 inch audio cassette

0
0.0

Jan 4, 2021
01/21

by
florin stanciu (asuss)

data

######
eye 0

######
favorite 0

######
comment 0

MTB MOUNT in PLA I use a iphone xr with Spigen Ultra Hybrid Cover -PRINT LAYER 0.2 MM -4 X BOLT M5 20MM -6 X NUT M5 -2 X BOLT M5 40MM MINIMUM AND MAXIMUM DIMENSIONS FOR SMARTPHONES WIDE 70-82 MM LENGHT 130-155 MM INTERNAL THICKNESS 14 MM

Topics: Sport & Outdoors, stl, thingiverse

0
0.0

Jan 6, 2021
01/21

by
Florin Ursu (gfursu)

data

######
eye 0

######
favorite 0

######
comment 0

For some reason, it won't allow me to add all the items remixed so here they are: https://www.thingiverse.com/thing:193647 https://www.thingiverse.com/thing:2259892 https://www.thingiverse.com/thing:461279 No support for the casing, support everywhere for the toppers 20% infill

Topics: casing, stl, art, scroll_casing, Art, thingiverse, scroll

0
0.0

Jan 5, 2021
01/21

by
Florin Ursu (gfursu)

data

######
eye 0

######
favorite 0

######
comment 0

I ran into a pickle as the wood behind the plastic plate for the cable (TV, Internet, etc) outlet broke and I needed a longer plate to screw in properly in the wood, somewhere where the wood was not broken. Not sure if anyone can make use of it, but here we go. No supports, 20%, PLA, etc.

Topics: wall plate, stl, cable, Replacement Parts, cable cover, cable outlet, plate, thingiverse, cable...

0
0.0

Mar 9, 2021
03/21

by
Florin Gaitanaru (dabijja)

data

######
eye 0

######
favorite 0

######
comment 0

This is my first project so please share your feedback. I'm new in design and 3d printing but I was in a desperate need to fix some parts of my garden swing. You may need a 12mm bolt to put parts together. credit for the Hirth Spline: https://grabcad.com/library/hirth-spline-1

Topics: swing, stl, thingiverse, spare_part, garden, Outdoor & Garden

2
2.0

Jun 29, 2018
06/18

by
Florin Diacu; Juan Manuel Sánchez-Cerritos; Shuqiang Zhu

texts

######
eye 2

######
favorite 0

######
comment 0

We prove that the fixed points of the curved 3-body problem and their associated relative equilibria are Lyapunov stable if the solutions are restricted to $\mathbb S^1$, but unstable if the bodies are considered in $\mathbb S^2$.

Topics: Dynamical Systems, Mathematical Physics, Mathematics

Source: http://arxiv.org/abs/1603.03339

2
2.0

Jun 29, 2018
06/18

by
Florin P. Boca; Maksym Radziwiłł

texts

######
eye 2

######
favorite 0

######
comment 0

The large sieve inequality is equivalent to the bound $\lambda_1 \leqslant N + Q^2-1$ for the largest eigenvalue $\lambda_1$ of the $N$ by $N$ matrix $A^{\star} A$, naturally associated to the positive definite quadratic form arising in the inequality. For arithmetic applications the most interesting range is $N \asymp Q^2$. Based on his numerical data Ramar\'e conjectured that when $N \sim \alpha Q^2$ as $Q \rightarrow \infty$ for some finite positive constant $\alpha$, the limiting...

Topics: Number Theory, Mathematics

Source: http://arxiv.org/abs/1609.05843

62
62

Sep 22, 2013
09/13

by
Florin Belgun; Nicolas Ginoux; Hans-Bert Rademacher

texts

######
eye 62

######
favorite 0

######
comment 0

We study spin structures on orbifolds. In particular, we show that if the singular set has codimension greater than 2, an orbifold is spin if and only if its smooth part is. On compact orbifolds, we show that any non-trivial twistor spinor admits at most one zero which is singular unless the orbifold is conformally equivalent to a round sphere. We show the sharpness of our results through examples.

Source: http://arxiv.org/abs/math/0409136v3

39
39

Sep 21, 2013
09/13

by
Florin P. Boca; Joseph Vandehey

texts

######
eye 39

######
favorite 0

######
comment 0

We prove results concerning the joint limiting distribution of the renewal time of denominators and consecutive digits of random irrational numbers in the case of continued fractions with even partial quotients, with odd partial quotients, and for Nakada's \alpha-expansions.

Source: http://arxiv.org/abs/1008.2983v4